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Finding the Fourth Proportional to 206,077.18, 284,420.16 and 141,492.81

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Solution

The fourth proportional to 206,077.18, 284,420.16 and 141,492.81 is: 195,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077.18 : 284,420.16 = 141,492.81 : x
  2. Step 2: Convert to fraction form
    206,077.18/284,420.16 = 141,492.81/x
  3. Step 3: Cross multiply
    206,077.18x = 284,420.16 × 141,492.81
  4. Step 4: Simplify right side
    206,077.18x = 40,243,407,659.05
  5. Step 5: Solve for x
    x = 40,243,407,659.05/206,077.18
  6. Step 6: Final answer
    x = 195,283.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.